What is area arctan(x), pi/4 x,[0,2pi] ?

The answer to area arctan(x), pi/4 x,[0,2pi] is 8.56785…

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area arctan(x), pi/4 x,[0,2pi]

area

arctan (x), \frac{π}{4} x, [0, 2 π]

8.56785 \dots

Solution steps

Apply the area formula:

\int_{0}^{2 π} arctan (x) - \frac{π}{4} x d x

Solve

\int_{0}^{2 π} arctan (x) - \frac{π}{4} x d x : 8.56785 \dots

The area is:

= 8.56785 \dots

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What is area arctan(x), pi/4 x,[0,2pi] ?
The answer to area arctan(x), pi/4 x,[0,2pi] is 8.56785…